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71401554 = 2337474019
BaseRepresentation
bin1000100000110…
…00000001010010
311222100120112000
410100120001102
5121234322204
611030214430
71524621540
oct420300122
9158316460
1071401554
1137339054
121bab4416
1311a3c753
1496a8d90
156406039
hex4418052

71401554 has 64 divisors (see below), whose sum is σ = 185241600. Its totient is φ = 19961424.

The previous prime is 71401553. The next prime is 71401571. The reversal of 71401554 is 45510417.

It is a happy number.

71401554 is a `hidden beast` number, since 71 + 40 + 1 + 554 = 666.

It is a super-3 number, since 3×714015543 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71401553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15757 + ... + 19775.

It is an arithmetic number, because the mean of its divisors is an integer number (2894400).

Almost surely, 271401554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71401554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92620800).

71401554 is an abundant number, since it is smaller than the sum of its proper divisors (113840046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71401554 is a wasteful number, since it uses less digits than its factorization.

71401554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 71401554 is about 8449.9440234832. The cubic root of 71401554 is about 414.8609472682.

The spelling of 71401554 in words is "seventy-one million, four hundred one thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1974 2538 2961 4019 5922 8038 8883 12057 17766 24114 28133 36171 56266 72342 84399 108513 168798 188893 217026 253197 377786 506394 566679 759591 1133358 1322251 1519182 1700037 2644502 3400074 3966753 5100111 7933506 10200222 11900259 23800518 35700777 71401554